Search a number
-
+
12801256 = 2313831483
BaseRepresentation
bin110000110101…
…010011101000
3220002101000121
4300311103220
511234120011
61134213024
7213544306
oct60652350
926071017
1012801256
117253856
124354174
132862910
1419b3276
1511cce71
hexc354e8

12801256 has 32 divisors (see below), whose sum is σ = 26177760. Its totient is φ = 5833152.

The previous prime is 12801247. The next prime is 12801259. The reversal of 12801256 is 65210821.

It is a self number, because there is not a number n which added to its sum of digits gives 12801256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12801259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7891 + ... + 9373.

It is an arithmetic number, because the mean of its divisors is an integer number (818055).

Almost surely, 212801256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12801256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088880).

12801256 is an abundant number, since it is smaller than the sum of its proper divisors (13376504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12801256 is a wasteful number, since it uses less digits than its factorization.

12801256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 12801256 is about 3577.8842910301. The cubic root of 12801256 is about 233.9290699865.

The spelling of 12801256 in words is "twelve million, eight hundred one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 1483 2158 2966 4316 5932 8632 11864 19279 38558 77116 123089 154232 246178 492356 984712 1600157 3200314 6400628 12801256